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Finding the Fourth Proportional to 5,628.16, 7,769.28 and 5,512.96

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Solution

The fourth proportional to 5,628.16, 7,769.28 and 5,512.96 is: 7,610.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,628.16 : 7,769.28 = 5,512.96 : x
  2. Step 2: Convert to fraction form
    5,628.16/7,769.28 = 5,512.96/x
  3. Step 3: Cross multiply
    5,628.16x = 7,769.28 × 5,512.96
  4. Step 4: Simplify right side
    5,628.16x = 42,831,729.87
  5. Step 5: Solve for x
    x = 42,831,729.87/5,628.16
  6. Step 6: Final answer
    x = 7,610.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.